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Finding the Third Proportional to 173,144 and 259,027

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Solution

The third proportional to 173,144 and 259,027 is: 387,509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,144 : 259,027 = 259,027 : x
  2. Step 2: Convert to fraction form
    173,144/259,027 = 259,027/x
  3. Step 3: Cross multiply
    173,144x = 259,027 × 259,027
  4. Step 4: Simplify right side
    173,144x = 67,094,986,729
  5. Step 5: Solve for x
    x = 67,094,986,729/173,144
  6. Step 6: Final answer
    x = 387,509.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.